1. How can you decide whether a relationship is linear by looking at its table or its equation? To decide whether a relationship is linear by looking at an equation, it should have this format: y = m x + b. Or if it is a table, the differences on the x-axis should be the same.
2. In the situations you explored, how did the rate - such as the meters per second a student walks or the dollars per mile a sponsor pledges - show up in the table, the graph, and the equation of a linear relationship? The rates showed up on a tale as the differences and seeing if they were the same/had a pattern. On a graph, the rates show up as a straight line and on an equation the rates show up as m(y = m x + b) or the slope.
3. How can you compare the rates for two linear relationships by looking at their graphs? Their tables? Their equations? To compare 2 linear relationships by looking at a graph, you have to look at the straight lines and the angles that they are on and see the two rates. On a table the differences would differ- so the rates would be different and on an equation, m would be different (y = m x + b).
4. When might you use a graph to answer a question about a linear relationship? When might you use a table? When might you use an equation? You could use a graph, table or equation in anycase, because they all have the same rates/linear relationships if they are all about the same thing. Although, if you want things to be more visual you could use a graph, or maybe even a tale to plot or if you want to be simpler you could use an equation. For example, in 2.2 we had to compare walking rates for Terry, Jade and Jerome. All of the people had different walking rates and we had to present the data on a graph, table and equation. (Below)
Investigation Summary:
In this investigation, we learned a lot about equations, graphs and tables. We learned how to find and compare rates, how to plot them and how to write them. We also learned new vocabulary such as slope, coefficient, linear relationship and y-intercept.
May/9/11
Block: B
Mathematical Reflection 2
1. How can you decide whether a relationship is linear by looking at its table or its equation?
To decide whether a relationship is linear by looking at an equation, it should have this format: y = m x + b. Or if it is a table, the differences on the x-axis should be the same.
2. In the situations you explored, how did the rate - such as the meters per second a student walks or the dollars per mile a sponsor pledges - show up in the table, the graph, and the equation of a linear relationship?
The rates showed up on a tale as the differences and seeing if they were the same/had a pattern. On a graph, the rates show up as a straight line and on an equation the rates show up as m(y = m x + b) or the slope.
3. How can you compare the rates for two linear relationships by looking at their graphs? Their tables? Their equations?
To compare 2 linear relationships by looking at a graph, you have to look at the straight lines and the angles that they are on and see the two rates. On a table the differences would differ- so the rates would be different and on an equation, m would be different (y = m x + b).
4. When might you use a graph to answer a question about a linear relationship? When might you use a table? When might you use an equation?
You could use a graph, table or equation in anycase, because they all have the same rates/linear relationships if they are all about the same thing. Although, if you want things to be more visual you could use a graph, or maybe even a tale to plot or if you want to be simpler you could use an equation.
For example, in 2.2 we had to compare walking rates for Terry, Jade and Jerome. All of the people had different walking rates and we had to present the data on a graph, table and equation. (Below)
Investigation Summary:
In this investigation, we learned a lot about equations, graphs and tables. We learned how to find and compare rates, how to plot them and how to write them. We also learned new vocabulary such as slope, coefficient, linear relationship and y-intercept.